Question

( 5/6 * 5 -5) : 2/3 - 0,5^2

Answer 1

Ответ:

-1.5

Объяснение:

1)5/6х5=25/6=4 1/6

2)4 1/6-5=-5/6

3)-5/6:2/3=-5/6х3/2=-15/12=-5/4

4)0.5^2=0.25=1/4

5)-5/4-1/4=-6/4=-1.5

Answer 2

Let's solve the expression step by step:

Step 1: Simplify the expression inside the parentheses: (5/6 * 5 - 5) = (25/6 - 5)

Step 2: Find a common denominator for the fraction and the whole number: The common denominator for 25/6 and 5 is 6. So, we rewrite 5 as 30/6: (25/6 - 30/6)

Step 3: Subtract the fractions: (25/6 - 30/6) = (25 - 30) / 6 = (-5) / 6

Step 4: Simplify the expression outside the parentheses: (-5/6) : 2/3 - 0.5^2

Step 5: Divide the fraction by the other fraction: (-5/6) ÷ (2/3) = (-5/6) * (3/2)

Step 6: Multiply the fractions: (-5/6) * (3/2) = (-5 * 3) / (6 * 2) = -15 / 12

Step 7: Simplify the fraction: -15 / 12 can be simplified by dividing both the numerator and denominator by the greatest common divisor (GCD), which is 3: -15 / 12 = -5 / 4

Step 8: Finally, subtract 0.5^2: -5 / 4 - 0.5^2 = -5 / 4 - 0.25

Step 9: Find a common denominator and combine the terms: The common denominator for 4 and 100 is 100. So, we rewrite -5/4 as -125/100: -125/100 - 25/100 = (-125 - 25) / 100 = -150 / 100

Step 10: Simplify the fraction: -150 / 100 can be simplified by dividing both the numerator and denominator by the GCD, which is 50: -150 / 100 = -3/2

So, the final result is -3/2.